A consistency-check based algorithm for element condensation in augmented finite element methods for fracture analysis

作者：Liu, W.; Schesser, D.; Yang, Q. D.^*; Ling, D. S.

来源：Engineering Fracture Mechanics, 2015, 139: 78-97.

DOI：10.1016/j.engfracmech.2015.03.038

• Fracture
• Augmented finite element method
• Cohesive zone models

This paper reports a new algorithm that provides analytic solution to the equilibrium equation in A-FEM. It utilizes a consistency check between trial cohesive stiffness and resulting displacements to differentiate crack displacements from nodal displacements. Benchmark numerical tests demonstrate that the algorithm yields superior numerical accuracy, efficiency, and robustness to other methods. The overall improvement in numerical efficiency is similar to 50 times that of the phantom-node based A-FEM in modeling a 4-point shear beam test. For mixed-mode composite delamination problems, the A-FEM with the algorithm is 20-30% faster than standard CZM despite that in the CZM delamination paths are predefined.

• 出版日期2015-5
• 单位浙江大学; 中国石油大学（北京）